Reflective automorphic forms on lattices of squarefree level
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Abstract:
We show that there are only finitely many nonconstant reflective automorphic forms $\Psi$ on even lattices of squarefree level splitting two hyperbolic planes and give a complete classification in the case where the zeros of $\Psi$ are simple and $\Psi$ has singular weight.References
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Additional Information
- Moritz Dittmann
- Affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany
- MR Author ID: 1093903
- Email: mdittmann@mathematik.tu-darmstadt.de
- Received by editor(s): March 20, 2018
- Received by editor(s) in revised form: May 19, 2018
- Published electronically: November 13, 2018
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 1333-1362
- MSC (2010): Primary 11F03; Secondary 11F27, 11F55
- DOI: https://doi.org/10.1090/tran/7620
- MathSciNet review: 3968804